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March 4, 2013

WASP-80b: a gas giant transiting a cool dwarf

?

Amaury H. M. J. Triaud

1

, D. R. Anderson

2

, A. Collier Cameron

3

, A. P. Doyle

2

, A. Fumel

4

, M. Gillon

4

, C. Hellier

2

,

E. Jehin

4

, M. Lendl

1

, C. Lovis

1

, P. F. L. Maxted

2

, F. Pepe

1

, D. Pollacco

5

, D. Queloz

1

, D. S´egransan

1

, B. Smalley

2

,

A. M. S. Smith

2,6

, S. Udry

1

, R. G. West

7

, and P. J. Wheatley

5

1 Observatoire Astronomique de l’Universit´e de Gen`eve, Chemin des Maillettes 51, CH-1290 Sauverny, Switzerland 2 Astrophysics Group, Keele University, Staffordshire, ST55BG, UK

3 SUPA, School of Physics & Astronomy, University of St Andrews, North Haugh, KY16 9SS, St Andrews, Fife, Scotland, UK 4 Institut d’Astrophysique et de G´eophysique, Universit´e de Li`ege, All´ee du 6 Aoˆut, 17, Bat. B5C, Li`ege 1, Belgium

5 Department of Physics, University of Warwick, Coventry CV4 7AL, UK

6 N. Copernicus Astronomical Centre, Polish Academy of Sciences, Bartycka 18, 00-716 Warsaw, Poland 7 Department of Physics and Astronomy, University of Leicester, Leicester, LE17RH, UK

Received date/ accepted date

ABSTRACT

We report the discovery of a planet transiting the star WASP-80 (1SWASP J201240.26-020838.2; 2MASS J20124017-0208391; TYC 5165-481-1; BPM 80815; V=11.9, K=8.4). Our analysis shows this is a 0.55 ± 0.04 Mjup, 0.95 ± 0.03 Rjupgas giant on a circular 3.07 day orbit around a star with a spectral type between K7V and M0V. This system produces one of the largest transit depths so far reported, making it a worthwhile target for transmission spectroscopy. We find a large discrepancy between the v sin i? inferred from stellar line broadening and the observed amplitude of the Rossiter-McLaughlin effect. This can be understood either by an orbital plane nearly perpendicular to the stellar spin or by an additional, unaccounted for source of broadening.

Key words.binaries: eclipsing – planetary systems – stars: individual: WASP-80 – techniques: spectroscopic; photometric

Numerous planets have been found since Mayor & Queloz (1995) and, like 51 Pegasi b, most orbit stars whose spectral type, mass, or size are similar to the Sun’s. This occurs even though a few surveys have concentrated their efforts on other spectral types notably towards M dwarfs, such as the HARPS M-dwarf survey (Bonfils et al. 2013) or the M-Earth project (Nutzman & Charbonneau 2008). In their rarity, those planets nevertheless help us better understand the processes leading to planet forma-tion.

The WASP (Wide Angle Search for Planets) survey aims to find transiting planets (Pollacco et al. 2006), and has now sur-veyed most of the night sky in both hemispheres. With some 70 planets now publicly announced, this is the most efficient ground-based planet discovery project. Thanks to its observation of now more than 30 million stars of magnitude between 8.5 and 13.5, it can pickup those rare planets that have avoided detec-tion by the radial-velocity surveys or even by the space-missions Keplerand CoRoT which have surveyed only 150 000 stars each. Amongst those rare planets found by WASP is the first gas giant around a δ Scuti (Collier Cameron et al. 2010) and the popula-tion of very short period gas giants, such as WASP-12, 18, 19 and 43 (Hebb et al. 2009, 2010; Hellier et al. 2009, 2011).

Despite their numbers and the facility of discovering them (radial velocities or transits), the occurrence rate of hot Jupiters

Send offprint requests to: Amaury.Triaud@unige.ch

? using WASP-South photometric observations, from Sutherland (South Africa), confirmed with the 60 cm TRAPPIST robotic telescope, EulerCam, and the CORALIE spectrograph on the Swiss 1.2 m Euler Telescope, and HARPS on the ESO 3.6m (Prog ID 089.C-0151), all three located at La Silla Observatory, Chile. The data is publicly avail-able at the CDS Strasbourg and on demand to the main author.

orbiting solar-type stars is low. It has been estimated to be as high as 1.5±0.6% by Cumming et al. (2008) from radial velocity surveys, and as low as 0.5 ± 0.1% by Howard et al. (2012) from the Kepler results. Johnson et al. (2010) have made a case that, because no hot Jupiter was known to orbit an M dwarf, their oc-currence must therefore be lower. Not long afterwards Johnson et al. (2012) announced the discovery of a transiting gas giant around a star observed by Kepler, KOI-254, describing it as a ”lone example [...] for some time to come”. Approximately 300 M dwarf systems have been searched for planets between the main radial velocity teams (Johnson et al. 2010). The M-Earth project is targeting about 3 000 (with a geometrical detection of only 5-10%). If the rate of hot Jupiters is but a half to a third that of solar type stars, there is a significant chance that such planets have avoided detection, a point made by Bonfils et al. (2013). Knowing this rate is important since gas giant formation is per-ceived as less efficient because protoplanetary disc masses scale with their primary’s mass as dynamical timescales do (Laughlin et al. 2004; Ida & Lin 2005; Alibert et al. 2011; Mordasini et al. 2012).

Within this context, we announce the discovery of a gas gi-ant transiting a late K–early M dwarf. We first describe our data collection, then its analysis, and finally the results we obtain.

1. Observations

WASP-80 (1SWASP J201240.26-020838.2; 2MASS J20124017 -0208391; TYC 5165-481-1; BPM 80815) was observed 5 782 times during one season at the WASP-South facility in Sutherland (South Africa), by a single camera, between 2010 May 15 and 2010 September 26 (Fig. 2b). The Hunter algorithm (Collier Cameron et al. 2007) found a period at 3.07 days and

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6550 6555 6560 6565 6570 6575 0.0 0.5 1.0 1.5 2.0 61 Cyg A K5V 61 Cyg B K7V WASP−80 BD +47 44A M1.5V . . . . Flux Wavelength 5860 5880 5900 5920 0.0 0.5 1.0 1.5 2.0 61 Cyg A K5V 61 Cyg B K7V WASP−80 BD +47 44A M1.5V . . . . Flux Wavelength

Fig. 1. Co-added HARPS spectra on WASP-80 compared with ELODIE spectra of 61 Cyg A & B and of BD+47 44A over the Na i Doublet and Hα.

uncovered a transit-like signal from five partial events, with a large depth that nevertheless corresponds to a planet-sized ob-ject once the colours of the star indicated it was a potential M0 dwarf.

The star was catalogued for spectroscopic follow-up on 2011 May 09, and the first radial velocity measurements were ob-tained with the CORALIE spectrograph in July 2011. Thirty-seven spectra have been collected between 2011 July 21 and 2012 September 12, including ten measurements obtained dur-ing the Rossiter-McLaughlin effect on 2012 June 19. We also used HARPS and acquired sixteen spectra during the transit of 2012 September 10. Atmospheric conditions were poor with see-ing > 2” at the beginnsee-ing of the sequence. Eight measurements were obtained in the nights leading to and following the transit, with one point badly affected by weather and excluded from the analysis. Radial velocities were extracted using a K5 correlation mask and those data also show a 3.07 day variation, in phase with the photometry. No such variation can be observed in the span of the bisector slope, or into the width of the line (Fig. 2a). This indicates a movement of the spectrum with time, as expected for an orbiting planet.

To complete the confirmation of the system and obtain pre-cise physical parameters, three higher precision lightcurves were observed, two by TRAPPIST (Jehin et al. 2011) on 2012 May 07 and 2012 September 10 in the z-band, and one by EulerCam us-ing an r’-Gunn filter on 2012 July 26 (Fig. 2c). Our data were re-duced and prepared for analysis in the same manner as in previ-ous WASP discoveries. Useful references can be found in Wilson et al. (2008), Anderson et al. (2011), Gillon et al. (2009, 2012), and Lendl et al. (2012).

2. Spectral analysis

The HARPS spectra were co-added, leading to a single spec-trum of signal-to-noise of 75:1. Its analysis was conducted fol-lowing the methods described in Doyle et al. (2013); the results are displayed in Table 1. The Hαline being weak, it indicates a low effective temperature around 4000 K and a K7 spectral type. The TiO bands are also weak, typical of a late K–early M dwarf. The Na i D are very strong, implying a surface gravity (log g) around 4.6, closer to an M spectral type than a K7 (Fig. 1). The equivalent widths of several clean and unblended Fe i lines were measured, in order to determine the stellar metallicity, evaluate microturbulence and confirm the Teff estimated from Hα. They

were also fitted to estimate the broadening caused by the pro-jected stellar rotation velocity (v sin i?). Macroturbulence was assumed to be zero since its effect is expected to be lower than thermal broadening (Gray 2008). We found v sin i?= 3.55 ± 0.33 km s−1. Because this seemed unusually large for this spectral type, we looked at all the stars with a similar B − V present in the HARPS archive: WASP-80 has the widest lines in the sample. There is no significant detection of lithium in the spectrum, and we can place an equivalent-width upper limit of 30mÅ, meaning log A(Li) < 0.0 ± 0.2. For early M-type stars, lithium can be this depleted in less than 100 My (Sestito & Randich 2005).

In their survey of high proper motion stars, Stephenson (1986) listed the star as spectral type K5. This is, however, inconsistent with the results of the spectral analysis. An in-dependent check of the stellar temperature can be obtained from the InfraRed Flux Method (IRFM) (Blackwell & Shallis 1977), which has been used to determine Teff and stellar an-gular diameter (θ) by estimating the total observed bolomet-ric flux from broad-band photometry from NOMAD, TASS, CMC14, and 2MASS. This gives Teff = 4020 ± 130 K and θ = 0.113 ± 0.008 mas, consistent with the Tefffrom the spectral analysis. There is no sign of any interstellar Na D lines in the spectra, so reddening is expected to be negligible.

3. Results

We applied the same fitting MCMC algorithm as described in Triaud et al. (2011). The stellar mass was constrained by a Gaussian prior with mean and standard deviation corresponding to the value obtained using the empirical mass-radius relation from Torres et al. (2010). The fit of the model over the data in-forms us of the mean stellar density (Seager & Mall´en-Ornelas 2003) found to be 3.12 ± 0.02 ρ . When combined with a mass of 0.58 ± 0.05M it gives a radius of 0.57 ± 0.02 R (entirely compatible with the Torres relation) and a log g?= 4.69 ± 0.02. Those values are also compatible with theoretical mass–radius relationships presented in Baraffe et al. (1998) (see Fig. 3).

The fit to the radial-velocities gives a reduced χ2

r = 0.75 ± 0.17, suggesting we may have overestimated our error bars on the measurements. The largest contribution to the χ2comes from the second point in the HARPS Rossiter-McLaughlin series, likely affected by high seeing. No eccentricity can be detected; we place a 95% confident upper value at e < 0.07. Similarly, if there is any other perturber in the system, it adds an

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accelera-Fig. 2. a) Top to bottom: CORALIE (upright red triangles) and HARPS (inverted black triangles) radial velocities on WASP-80 plotted with a circular Keplerian model and residuals; below: change in the span of the bisector slope and change in the FWHM of the CCF. b) Phase-folded WASP V+R photometry with model and its residuals. c) Top to bottom: the two TRAPPIST z band and the EulerCam r’-Gunn transit lightcurves with models over plotted. The residuals are displayed in the same order below. d) Zoom on the Rossiter-McLaughlin effect showing CORALIE and HARPS radial velocities with the most likely model and the residuals from the fit.

tion lower than 24 m s−1yr−1. The results of the fit are located in Table 1. The mass function f(m) and the log gp are directly obtained from fitting the data; they indicate we have discovered a new transiting planet. Using the stellar mass we obtain a mass and radius for our object and find 0.55±0.04 Mjupand 0.95±0.03 Rjup.

The Rossiter-McLaughlin effect is marginally detected even though a semi amplitude between 60 and 70 m s−1had been ex-pected. This can be explained either by a highly inclined planet (the impact parameter b < 0.1, even when adjusting only the photometry (see Triaud et al. (2011) for details), or by an ad-ditional unaccounted-for broadening of the spectral lines. This could occur in the presence of magnetic fields producing a par-tially resolved Zeeman line splitting. The presence of strong magnetic fields has been reported for a number of M dwarfs by Morin et al. (2010) and Donati et al. (2008). We examined our spectra and found no signs of Zeeman broadening.

Two different fits were attempted. For the first one, we as-sumed β= 0◦± 20 and found V sin i

? = 0.91 ± 0.25 km s−1, in strong disagreement with the value inferred in section 2. For the second attempt, we chose to impose a prior on V sin i?= v sin i?, and as expected we find two well separated and symmetrical so-lutions for the spin–orbit angle: β= ±75◦± 4. We caution here that this angle is entirely dependent on the value of v sin i?.

The rotation rate (P = 8.5 ± 0.8 d) implied by the v sin i? gives a gyrochronological age of ∼ 100+30−20My using the Barnes

(2007) relation. The presence of Ca H+K emission indicates that WASP-80 may be a young active star. Despite this, we do not de-tect any rotational variability > 1 mmag in the WASP lightcurve or in a multi-epoch TRAPPIST campaign. None of the transits show signs of stellar spot crossings.

Furthermore, using the values of proper motion reported in NOMAD (Zacharias et al. 2004) (−100 ± 3, −60 ± 8 mas yr−1) and the systemic velocity we observed (10.2 km s−1), we com-puted its galactic dynamical velocities (U, V, W)= (30.0, -11.7, 12.8) km s−1. Those values are well away from any of the known young moving groups reported in Zuckerman & Song (2004). This means the gyrochronological age is not reliable.

4. Conclusions

Our observations and their analysis allow us to conclude there is an unseen transiting companion orbiting WASP-80 whose mass and radius are planetary.

Even though only a few cool stars have been observed by WASP, our planet confirmation rate is similar to sun-like stars. We only followed-up 26 stars for which the Hunter algorithm re-turned a signal and whose colours indicate they are of K5 or later type (only three were classified as M0 including WASP-80). Our data show we have 17 blends (for eight of those the original tar-get was identified as a red giant), three spectrally resolved eclips-ing binaries and one unresolved, two potential triples (blends but

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Table 1. Parameters of the WASP-80 system.

1SWASP J201240.26-020838.2 2MASS J20124017-0208391

TYC 5165-481-1 BPM 80815

Filter Magnitude Filter Magnitude

2MASS1 NOMAD2 J 9.218 ± 0.023 B 12.810 H 8.513 ± 0.026 V 11.870 K 8.351 ± 0.022 R 11.110 TASS43 CMC144 V 11.881 ± 0.228 r’ 11.358 ± 0.011 I 10.279 ± 0.105

Parameter Value & 1σ error Parameter Value & 1σ error from spectral line analysis

Spectral type K7V Distance 60 ± 20 pc

Teff 4145 ± 100 K [Fe/H] −0.14 ± 0.16

log g 4.6 ± 0.2 (cgs) log A(Li) < 0.0 ± 0.2

vsin i? 3.55 ± 0.33 km s−1 ξt 0.3 ± 0.3 km s−1

Mass 0.58 ± 0.05 M Radius 0.63 ± 0.15 R

jump parameters for the MCMC

Period 3.0678504(+23)(−27)d T0(BJD) 2 456 125.417512(+67)(−52) Depth 0.02933((−09)+10) Width 0.08800((−16)+19)d √ Vsin i?cos β 0.48(+0.12)(−0.13) b 0.019(+26)(−17)R √ Vsin i?sin β ±1.78(+0.12)(−0.09) K 110.9 (+3.0) (−3.3)m s −1

derived parameters from the MCMC

Rp/R? 0.17126(+31)(−26) f(m) 0.425 10−9 (+43)(−31)M R?/a 0.07699((−17)+17) Rp/a 0.013183 (+39) (−35) log g? 4.689((−13)+12)(cgs) log gp 3.178 (+13) (−12)(cgs) ρ? 3.117(+21)(−20)ρ ρp 0.554(+30)(−39)ρjup M?(prior) 0.57((−0.05)+0.05)M Mp 0.554((−39)+30)Mjup R? 0.571((−16)+16)R Rp 0.952 (+26) (−27)Rjup Vsin i? 3.46(+0.34)(−0.35)km s −1 β ±75(+4.0) (−4.3)deg a 0.0346((−11)+08)AU ip 89.92((−0.12)+0.07)deg e < 0.07 | ˙γ| < 24 m s−1yr−1

Note: Mass and radius estimated using the Torres et al. (2010) calibra-tion. Spectral type estimated from Teffusing Table B.1 in Gray (2008). Distance estimated using the IRFM angular diameter and the stellar radius. Units based on the equatorial solar and jovian radii and masses taken from Allen’s Astrophysical Quantities (Cox 2000). 1 - Skrutskie et al. (2006) 2 Zacharias et al. (2004) 3 Droege et al. (2006) 4 -ViZier I/304/out

gravitationally bound), one false alarm, and two planets (WASP-43b (Hellier et al. 2011; Gillon et al. 2012), and WASP-80b). A total of two planets out of 26 candidates is remarkably close to our mean discovery rate of 8.8 ± 1.2% planet per candidate (Triaud 2011). In addition to the observed rarity of hot Jupiters around cold stars, it is also interesting to note that this planet is orbiting a relatively metal poor star, whereas Santos et al. (2003), Fischer & Valenti (2005), and Mayor et al. (2011) have shown they have an even lower occurrence rate of gas giants for any orbital period.

WASP-80b’s equilibrium temperature will be around 800 K (for an albedo of 0.1). The planet-to-star contrast is favourable for future observation of the emission spectrum of the planet, because it is hosted by a star ∼ 1500 K colder than the usual tar-gets. Furthermore, the near 3% depth of the transit makes this gas giant one of the most suitable targets for transmission spec-troscopy. 0.00 0.02 0.4 0.5 0.6 0.7 0.8 0.50 0.55 0.60 0.00 0.02 Rs (R sol ) Ms (Msol) . . . .

Fig. 3. Posterior probability density, output of the MCMC, show-ing the mass of the primary (drawn from a prior), and its radius (inferred from the transit signal). 1, 2 and 3 σ confidence regions are drawn. The over-plotted grey line is the theoretical 0.5 Gyr mass-radius relationship from Baraffe et al. (1998), in black is the 8 Gyr relation (for solar metallicity). Side histograms show the marginalised parameters.

WASP-80b is a warm Jupiter when we consider its tempera-ture, and yet it belongs to the hot Jupiter population. Because of the high density of the host, and the low density of the planet, it is located about 3 Roche radii away from the star, just as would be expected if it had circularised from an earlier, more eccentric or-bit (Matsumura et al. 2010). Although the Rossiter-McLaughlin effect is observed symmetrical, the planet’s orbital spin could be severely inclined if the host star rotates as quickly as the spectral line broadening indicates. If no additional spectral line broaden-ing mechanism is discovered, then WASP-80b would become a rare example of a severely inclined planet whose host star’s Teff is cooler than 6250 K (Brown et al. 2012; Albrecht et al. 2012; Winn et al. 2010).

Nota Bene We used the UTC time standard and Barycentric Julian Dates in our analysis.

Acknowledgements. We acknowledge an extensive use of Harvard’s ADS paper archive and Strasbourg’s CDS data repository. We would like to thank Richard I. Anderson for his kindness in observing the CORALIE Rossiter-McLaughlin effect, with quite late notice and under a certain weather stress, as well as to thank Xavier Bonfils and Corinne Charbonnel for inspiring discussions. This work is supported by the Swiss National Science Foundation. TRAPPIST is a project funded by the Belgian Fund for Scientific Research (Fond National de la Recherche Scientifique, F.R.SFNRS) under grant FRFC 2.5.594.09.F, with the participation of the Swiss National Science Foundation (SNF). M. Gillon and E. Jehin are FNRS Research Associates. WASP-South is hosted by the South African Astronomical Observatory, and we are grateful for their ongoing support and assistance.

This publication makes use of data products from the Two Micron All Sky Survey, which is a joint project of the University of Massachusetts and the Infrared Processing and Analysis Center/California Institute of Technology, funded by the National Aeronautics and Space Administration and the National Science Foundation.

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Figure

Fig. 1. Co-added HARPS spectra on WASP-80 compared with ELODIE spectra of 61 Cyg A &amp; B and of BD + 47 44A over the Na i Doublet and H α .
Fig. 2. a) Top to bottom: CORALIE (upright red triangles) and HARPS (inverted black triangles) radial velocities on WASP-80 plotted with a circular Keplerian model and residuals; below: change in the span of the bisector slope and change in the FWHM of the
Table 1. Parameters of the WASP-80 system.

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